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Atkins & de Paula: Elements of Physical Chemistry 5e

Chapter 07

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Question 1

Calculate the standard reaction Gibbs energy ΔrG° at 298 K for the combustion of ethane
C2H6(g) + 3½ O2(g) 2 CO2(g) + 3 H2O(l)
given that the standard Gibbs energies of formation of the components at this temperature are ΔfG°(C2H6, g) = -32.82 kJ mol-1, ΔfG° (CO2,g) = -394.36 kJ mol-1, ΔfG°(H2O,l) = -237.13 kJ mol-1.

Question 2

The equilibrium constant for the reaction
CO(g) + H2O(g) CO2(g) + H2(g) is K = 1.03 × 105 at 298.15 K. Calculate the standard reaction Gibbs energy at this temperature.

Question 3

The partial pressure of a component in a gas-phase reaction is 0.452 atm. What is the activity of the component?

Question 4

Calculate the equilibrium constant at 25°C for the reaction
2 NO(g) + O2(g) 2 NO2(g)
given that
ΔrG° = -69.8 kJ mol-1.

Question 5

The reaction
Si(s) + 2 H2(g) SiH4(g)
is spontaneous? at 298 K. The standard enthalpy of reaction ΔrH° = -61.9 kJ mol-1 and standard entropy of reaction ΔrS° = -76.7 J K-1 mol-1. At what temperature does the reaction cease to be spontaneous?

Question 6

When equal amounts of hydrogen, H2, and iodine, I2, are mixed together at a total pressure of 1 bar, the partial pressure of hydrogen iodide, HI, vapour produced from by the reaction
H2(g) + I2(g) 2 HI(g)
is 22.8 kPa. Calculate the equilibrium constant for the reaction.

Question 7

Calcium carbonate undergoes thermal decomposition
CaCO3(s) CaO(s) + CO2(g)
at high temperatures. The equilibrium constant for the reaction is 0.0120 at 900 K. Calculate the partial pressure of carbon dioxide, CO2, when calcium carbonate, CaCO3, is heated at 900 K.

Question 8

The equilibrium constant for the reaction
PCl3(g) + Cl2(g) PCl5(g)
is K = 3.29 × 106 at 298 K. Calculate the value of Kc, the equilbrium constant expressed in terms of concentrations.

Question 9

The equilibrium constant for the reaction
2HCl(g) + O2(g) H2O(g) + Cl2(g)
is 13300 at 400 K and 429 at 500 K. Use the van't Hoff equation to determine the standard enthalpy of reaction.

Question 10

The equilibrium constant for the gas-phase reaction
N2O4(g) 2 NO2(g)
is 0.1179. Calculate the mole fraction of nitrogen dioxide, NO2, in the equilibrium reaction mixture when the total pressure is exactly 1 bar.

 
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